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Finding the Third Proportional to 377,399 and 606,008

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Solution

The third proportional to 377,399 and 606,008 is: 973,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,399 : 606,008 = 606,008 : x
  2. Step 2: Convert to fraction form
    377,399/606,008 = 606,008/x
  3. Step 3: Cross multiply
    377,399x = 606,008 × 606,008
  4. Step 4: Simplify right side
    377,399x = 367,245,696,064
  5. Step 5: Solve for x
    x = 367,245,696,064/377,399
  6. Step 6: Final answer
    x = 973,096.63

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.